Solution: Interval List Intersections

Explore how to efficiently find intersections between two sorted lists of closed intervals. Learn to use pointers to iterate through both lists simultaneously and identify overlapping intervals. This lesson teaches the optimized method to solve interval list intersection problems with a clear explanation of the algorithm and time-space complexity considerations.

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Statement
Solution
- Naive approach
- Optimized approach using intervals

Statement

Given two lists of closed intervalsA closed interval [start, end] (with start <= end) includes all real numbers x such that start <= x <= end., intervalListA and intervalListB, return the intersection of the two interval lists.

Each interval in the lists has its own start and end time and is represented as [start, end]. Specifically:

intervalListA[i] = [start_i, end_i]
intervalListB[j] = [start_j, end_j]

The intersection of two closed intervals i and j is either:

An empty set, if they do not overlap, or
A closed interval [max(start_i, start_j), min(end_i, end_j)] if they do overlap.

Also, each list of intervals is pairwise disjoint and in sorted order.

Constraints:

$0 \leq$ ...